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127801245049 = 17412372
BaseRepresentation
bin111011100000110001…
…1000011110101111001
3110012212200120220212021
41313001203003311321
54043214104320144
6134413332114441
712143014442032
oct1670143036571
9405780526767
10127801245049
114a22251aa85
1220928465a21
13c0894baaba
146285473a89
1534cece0884
hex1dc18c3d79

127801245049 has 15 divisors (see below), whose sum is σ = 135898588587. Its totient is φ = 120186286656.

The previous prime is 127801245037. The next prime is 127801245053. The reversal of 127801245049 is 940542108721.

The square root of 127801245049 is 357493.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 686178025 + 127115067024 = 26195^2 + 356532^2 .

It is not a de Polignac number, because 127801245049 - 217 = 127801113977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127801244996 and 127801245014.

It is not an unprimeable number, because it can be changed into a prime (127801248049) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 103314859 + ... + 103316095.

Almost surely, 2127801245049 is an apocalyptic number.

127801245049 is the 357493-rd square number.

127801245049 is the 178747-th centered octagonal number.

It is an amenable number.

127801245049 is a deficient number, since it is larger than the sum of its proper divisors (8097343538).

127801245049 is an frugal number, since it uses more digits than its factorization.

127801245049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 127801245049 in words is "one hundred twenty-seven billion, eight hundred one million, two hundred forty-five thousand, forty-nine".

Divisors: 1 17 289 1237 4913 21029 83521 357493 1530169 6077381 26012873 103315477 442218841 7517720297 127801245049